Adv 3B­4 Solving and Graphing inequalities with variable on both sides.notebook October 15, 2014

3B­4  Solving inequalities when variables are on both sides.   EQ: What are the steps for solving an inequality  when a variable is on both sides? How would you solve this?

3x + 4 = 5x

Remember: You need to isolate the variable.

Adv 3B­4 Solving and Graphing inequalities with variable on both sides.notebook October 15, 2014

Solve the inequality the same way as you did the equation!

3x + 4 > 5x

What is different about the solution?

Adv 3B­4 Solving and Graphing inequalities with variable on both sides.notebook October 15, 2014

Try this one: 6x + 14  > 4x ­ 10

1) Combine any like terms on the same side.

­ 4x

­ 4x

2x + 14  >  ­ 10

2) Combine your variables to one side.

­ 14

­ 14

2x   >  ­ 24

3) Combine your whole numbers to the other side.

­2

­2 4) Solve the inequality.

x   >  ­ 12

5) Graph the inequality. 

­12

13x + 14 ­ 7x > 4x ­ 10

0

Adv 3B­4 Solving and Graphing inequalities with variable on both sides.notebook October 15, 2014

Solve and graph the solution.

­12 + 20x ­ 11x > 3x + 6

3B-4 Inequalities with Variables on both sides.pdf

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